12220202400 has 288 divisors, whose sum is σ = 45566333568. Its totient is φ = 2786611200.

The previous prime is 12220202329. The next prime is 12220202413. The reversal of 12220202400 is 420202221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220202400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12985930 + ... + 12986870.

It is an arithmetic number, because the mean of its divisors is an integer number (158216436).

Almost surely, 2^12220202400 is an apocalyptic number.

12220202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22783166784).

12220202400 is an abundant number, since it is smaller than the sum of its proper divisors (33346131168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220202400 is a wasteful number, since it uses less digits than its factorization.

12220202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12220202400 its reverse (420202221), we get a palindrome (12640404621).

The spelling of 12220202400 in words is "twelve billion, two hundred twenty million, two hundred two thousand, four hundred".